4 019 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
8039	4	13.0	old
829167929	9	29.6	old
28095703681	11	34.7	old
151415752220337227148079031479	30	96.9	old
4462895007329107203212412618387041	34	111.8	old
476657315515778561163797690391441872881698937	45	148.4	2020-02-26 19:45:45

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	18183 / 40830

Estimated T-Level: 52.2 ⓘ

TF below 2^168 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	ACC84173A6E7222F	5	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	ACC84173A6E7222F	5	0	1	3
Verified (Factored)	2017-12-07	ATH	ACC84173A6E7222F	5	2760	1	3
Verified	2020-02-27	Jinyuan Wang	2705654C49868790	6	1519	5	3
Verified	2020-02-28	Team_Inspector	2705654C49868790	6	2429	5	3
Verified	2020-04-17	Oliver Kruse	2705654C49868790	6	1937	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	2705654C49868790	1	160	5	3

History

Date	User	Type	Result
2025-05-10	masser	NF-PP1	Start=102/37, B1=2600000000, B2=2597400000000
2023-05-16	-Anonymous-	NF-PM1	B1=81000000000, B2=812832933743280450
2022-05-12	Jorge Coveiro	C-PRP	M4019/8039 : 2705654C49868790 PRP: Verified (Factored) PRP without proof (small exponent)
2021-12-15	Oliver Kruse	NF-PM1	B1=1000000000, B2=1005572446258380
2021-12-14	Lisander Viaene	NF-PM1	B1=101101101, B2=79504284549690
2021-12-14	Lisander Viaene	NF-PM1	B1=1000000, B2=35476771370040
2020-04-17	Oliver Kruse	C-PRP	M4019/8039/829167929/28095703681/151415752220337227148079031479/4462895007329107203212412618387041/476657315515778561163797690391441872881698937 : 2705654C49868790 PRP: Verified (Factored) PRP without proof (small exponent)
2020-02-28	Team_Inspector	C-PRP	M4019/8039/829167929/28095703681/151415752220337227148079031479/4462895007329107203212412618387041/476657315515778561163797690391441872881698937 : 2705654C49868790 PRP: Verified (Factored) PRP without proof (small exponent)
2020-02-27	Jinyuan Wang	C-PRP	M4019/8039/829167929/28095703681/151415752220337227148079031479/4462895007329107203212412618387041/476657315515778561163797690391441872881698937 : 2705654C49868790 PRP: Verified (Factored) PRP without proof (small exponent)
2020-02-26	James Hintz	F-ECM	Factor: 476657315515778561163797690391441872881698937 / (ECM curve 2818, B1=11000000, B2=1100000000, Sigma=654376549952609)
2017-12-07	ATH	C-PRP	M4019/8039/829167929/28095703681/151415752220337227148079031479/4462895007329107203212412618387041 : ACC84173A6E7222F PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4019/8039/829167929/28095703681/151415752220337227148079031479/4462895007329107203212412618387041 : ACC84173A6E7222F PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4019/known_factors : ACC84173A6E7222F PRP without proof (not generated)